Find the value of ‘k' if x=2,y=1 is a solution of the equation 5x+7y=2k
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➤ Answer
- The value of k = 17/2.
➤ Given
- x and y are the solution of the equation 5x + 7y = 2k where x = 2 and y = 1.
➤ To Find
- The value of k.
➤ Step By Step Explanation
Given that value of x and y are the solution of the equation 5x + 7y = 2k where x = 2 and y = 1
We need to find the value of k.
So let's do it !!
By substituting the value of x and y.
➠ 5x + 7y = 2k
➠ 5(2) + 7(1) = 2k
➠ 10 + 7 = 2k
➠ 17 = 2k
➠ 17/2 = k
Therefore the value of k = 17/2.
➤ Check
By substituting the values of x, y and k in the equation.
L.H.S. ⤵
➠ 5(2) + 7(1)
➠ 10 + 7
➠ 17
R.H.S. ⤵
➠ 2(17/2)
➠ 2 × 17/2
➠ 17
Hence, L.H.S. = R.H.S.
_____________________
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